excess-n


Summary

Excess representation

  • alternative to sign-and-magnitude, same range as 2s complement
  • even distribution of +ve and -ve values

in general, given n bits, we use excess-2ⁿ⁻ⁱ or excess-(2ⁿ⁻ⁱ-1)

Concept

Excess-n

  • translation by n

Application

Excess-2 on 3 bits

Essentially excess- implies that there are -ve values, the remaining space is filled with 0 and +ve values

Excess-1023